Solutions of Gross-Pitaevskii equations beyond the hydrodynamic approximation: Application to the vortex problem
arXiv:cond-mat/0008180 · doi:10.1103/PhysRevA.62.033610
Abstract
We develop the multiscale technique to describe excitations of a Bose-Einstein condensate (BEC) whose characteristic scales are comparable with the healing length, thus going beyond the conventional hydrodynamical approximation. As an application of the theory we derive approximate explicit vortex and other solutions. The dynamical stability of the vortex is discussed on the basis of the mathematical framework developed here, the result being that its stability is granted at least up to times of the order of seconds, which is the condensate lifetime. Our analytical results are confirmed by the numerical simulations.
To appear in Phys. Rev. A
References in corpus (5)
Cited by in corpus (6)
- Vortices in a trapped dilute Bose-Einstein condensate
- Pade approximations of solitary wave solutions of the Gross-Pitaevskii equation
- Structural instability of vortices in Bose-Einstein condensates
- Experimental observation of turbulent coherent structures in a superfluid of light
- Short-Wave Excitations in Non-Local Gross-Pitaevskii Model
- On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates